Shape Analysis of Planar Multiply-Connected Objects Using Conformal Welding
Found in:
IEEE Transactions on Pattern Analysis and Machine Intelligence
By Lok Ming Lui,Wei Zeng,Shing-Tung Yau,Xianfeng Gu
Issue Date:July 2014
pp. 1-1
Shape analysis is a central problem in the field of computer vision. In 2D shape analysis, classification and recognition of objects from their observed silhouettes are extremely crucial but difficult. It usually involves an efficient representation of 2D ...

Computing geodesic spectra of surfaces
Found in:
Proceedings of the 2007 ACM symposium on Solid and physical modeling (SPM '07)
By Feng Luo, Miao Jin, Shing-Tung Yau, Xianfeng Gu
Issue Date:June 2007
pp. 387-393
Surface classification is one of the most fundamental problems in geometric modeling. Surfaces can be classified according to their conformal structures. In general, each topological equivalent class has infinite conformally equivalent classes. This paper ...

Manifold splines with single extraordinary point
Found in:
Proceedings of the 2007 ACM symposium on Solid and physical modeling (SPM '07)
By Feng Luo, Hong Qin, Miao Jin, Shing-Tung Yau, Xianfeng Gu, Ying He
Issue Date:June 2007
pp. 61-72
This paper develops a novel computational technique to define and construct powerful manifold splines with only one singular point by employing the rigorous mathematical theory of Ricci flow. The central idea and new computational paradigm of manifold spli...

High-resolution, real-time-geometry video acquisition system
Found in:
ACM SIGGRAPH 2006 Emerging technologies (SIGGRAPH '06)
By Dale Royer, Shing-Tung Yau, Song Zhang
Issue Date:July 2006
pp. 14-es
The Embossed Touch Display is a novel tactile display that can present any given width of objects. When we touch objects in space, we actively move our hands and fingers. Due to this active touch movement, we can perceive the shape of an object, even thoug...

High-resolution, real-time-geometry video acquisition
Found in:
Material presented at the ACM SIGGRAPH 2006 conference (SIGGRAPH '06)
By Dale Royer, Shing-Tung Yau, Song Zhang
Issue Date:July 2006
pp. 110-es
We have developed a new physically-based technique for computing soft shadows from a shadow map for spherical lights. Shadow-map samples unprojected into world-space (micro-patches) are culled against a shadow cone wrapping all the possible shadow rays fro...

High-resolution, real-time-geometry video acquisition system
Found in:
Material presented at the ACM SIGGRAPH 2006 conference (SIGGRAPH '06)
By Dale Royer, Shing-Tung Yau, Song Zhang
Issue Date:July 2006
pp. 14-es
The Embossed Touch Display is a novel tactile display that can present any given width of objects. When we touch objects in space, we actively move our hands and fingers. Due to this active touch movement, we can perceive the shape of an object, even thoug...

Holoimages
Found in:
Proceedings of the 2006 ACM symposium on Solid and physical modeling (SPM '06)
By Liangjun Zhang, Peisen Huang, Ralph Martin, Shing-Tung Yau, Song Zhang, Xianfeng Gu
Issue Date:June 2006
pp. 129-138
We introduce a novel geometric representation called the holoimage, which encodes both shading and geometry information within the same image, based on the principles of wave optics. 'Image' referes to the representation and records the amplitude of the li...